@Article{AAM-36-4, author = {Yu, Sihui and Weiguo, Liu}, title = {Euler Approximation for Non-Autonomous Mixed Stochastic Differential Equations in Besov Norm}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {36}, number = {4}, pages = {426--441}, abstract = {
We consider a kind of non-autonomous mixed stochastic differential equations driven by standard Brownian motions and fractional Brownian motions with Hurst index $H ∈ (1/2, 1)$. In the sense of stochastic Besov norm with index $γ$, we prove that the rate of convergence for Euler approximation is $O(δ^{2H−2γ})$, here $δ$ is the mesh of the partition of $[0, T]$.
}, issn = {}, doi = {https://doi.org/2020-AAM-18591}, url = {https://global-sci.com/article/72675/euler-approximation-for-non-autonomous-mixed-stochastic-differential-equations-in-besov-norm} }